What is the acute angle between the pair of straight lines \sqrt{2} {x}+\sqrt{3} {y}=1 and \sqrt{3} {x}+\sqrt{2} {y}=2 ? [NDA I 2017]

Correct Answer is : tan−1(12√6)

NDA Math Coordinate System and Straight Line

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What is the acute angle between the pair of straight lines √2x+√3y=1 and √3x+√2y=2?

[NDA I 2017]

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